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Jun 5, 2021
06/21

by
michael falk

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michael falk won his first episode

Topic: Jeopardy 00s game show season 22

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Sep 19, 2013
09/13

by
Michael Falk

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Let $G$ be a matroid on ground set \A. The Orlik-Solomon algebra $A(G)$ is the quotient of the exterior algebra \E on \A by the ideal \I generated by circuit boundaries. The quadratic closure $\bar{A}(G)$ of $A(G)$ is the quotient of \E by the ideal generated by the degree-two component of \I. We introduce the notion of \nbb set in $G$, determined by a linear order on \A, and show that the corresponding monomials are linearly independent in the quadratic closure $\bar{A}(G)$. As a consequence,...

Source: http://arxiv.org/abs/math/0010167v2

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Sep 18, 2013
09/13

by
Michael Falk

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This is a revision and update of the part of the preprint math.CO/0405210 concerning field coefficients, line complexes, and the Hessian arrangement. The material from that paper concerning coefficients in arbitrary commutative rings and the deleted B_3 arrangement will appear separately.

Source: http://arxiv.org/abs/math/0611008v1

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Sep 20, 2013
09/13

by
Michael Falk

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Let R^1(A,R) be the degree-one resonance variety over a field R of a hyperplane arrangement A. We give a geometric description of R^1(A,R) in terms of projective line complexes. The projective image of R^1(A,R) is a union of ruled varieties, parametrized by neighborly partitions of subarrangements of A. The underlying line complexes are intersections of special Schubert varieties, easily described in terms of the corresponding partition. We generalize the definition and decomposition of...

Source: http://arxiv.org/abs/math/0405210v2

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Jul 20, 2013
07/13

by
Michael Falk

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The Orlik-Solomon algebra ${\cal A}(G)$ of a matroid $G$ is the free exterior algebra on the points, modulo the ideal generated by the circuit boundaries. On one hand, this algebra is a homotopy invariant of the complement of any complex hyperplane arrangement realizing $G$. On the other hand, some features of the matroid $G$ are reflected in the algebraic structure of ${\cal A}(G)$. In this mostly expository article, we describe recent developments in the construction of algebraic invariants...

Source: http://arxiv.org/abs/math/0009135v1

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Sep 23, 2013
09/13

by
Michael Falk

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Replacing the spectral measure by a random vector Z allows the representation of a multivariate max-stable distribution with standard negative margins via a norm, called D-norm, whose generator is Z. We investigate the set of all generators in detail. This approach towards multivariate extreme value distributions entails the definition of a multiplication type operation on the set of D-norms leading to idempotent D-norms. We characterize the set of idempotent D-norms. Iterating the...

Source: http://arxiv.org/abs/1303.1284v1

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Sep 18, 2013
09/13

by
Stefan Aulbach; Michael Falk

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We investigate two models for the following setup: We consider a stochastic process X \in C[0,1] whose distribution belongs to a parametric family indexed by \vartheta \in {\Theta} \subset R. In case \vartheta = 0, X is a generalized Pareto process. Based on n independent copies X(1),...,X(n) of X, we establish local asymptotic normality (LAN) of the point process of exceedances among X(1),...,X(n) above an increasing threshold line in each model. The corresponding central sequences provide...

Source: http://arxiv.org/abs/1201.6611v1

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Jul 20, 2013
07/13

by
Michael Falk; Martin Hofmann

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We investigate the sojourn time above a high threshold of a continuous stochastic process Y on [0,1]. It turns out that the limit, as the threshold increases, of the expected sojourn time given that it is positive, exists if the copula process corresponding to Y is in the functional domain of attraction of of an extreme value process. This limit coincides with the limit of the fragility index corresponding to finite (n-)dimensional distributions of Y as n and the threshold increase. If the...

Source: http://arxiv.org/abs/1107.5696v2

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Sep 22, 2013
09/13

by
Michael Falk; Sergey Yuzvinsky

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We show that a line arrangement in the complex projective plane supports a nontrivial resonance variety if and only if it is the underlying arrangement of a "multinet," a multi-arrangement with a partition into three or more equinumerous classes which have equal multiplicities at each inter-class intersection point, and satisfy a connectivity condition. We also prove that this combinatorial structure is equivalent to the existence of a pencil of plane curves, also satisfying a...

Source: http://arxiv.org/abs/math/0603166v6

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Sep 22, 2013
09/13

by
Falk Bruckmann; Michael Engelhardt

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The manner in which continuum center vortices generate topological charge density is elucidated using an explicit example. The example vortex world-surface contains one lone self-intersection point, which contributes a quantum 1/2 to the topological charge. On the other hand, the surface in question is orientable and thus must carry global topological charge zero due to general arguments. Therefore, there must be another contribution, coming from vortex writhe. The latter is known for the...

Source: http://arxiv.org/abs/hep-th/0307219v1

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Sep 22, 2013
09/13

by
Carrie Eschenbrenner; Michael Falk

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The $OS$ algebra $A$ of a matroid $M$ is a graded algebra related to the Whitney homology of the lattice of flats of $M$. In case $M$ is the underlying matroid of a hyperplane arrangement \A in $\C^r$, $A$ is isomorphic to the cohomology algebra of the complement $\C^r\setminus \bigcup \A.$ Few examples are known of pairs of arrangements with non-isomorphic matroids but isomorphic $OS$ algebras. In all known examples, the Tutte polynomials are identical, and the complements are homotopy...

Source: http://arxiv.org/abs/math/9805128v1

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Sep 18, 2013
09/13

by
Michael Falk; Richard Randell

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In "On the homotopy theory of arrangements," published in 1986, the authors gave a comprehensive survey of the subject. This article updates and continues the earlier article, noting some key open problems.

Source: http://arxiv.org/abs/math/0002107v1

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Jun 29, 2018
06/18

by
Michael Falk; Florian Wisheckel

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Asymptotic normality of intermediate order statistics taken from univariate iid random variables is well-known. We generalize this result to random vectors in arbitrary dimension, where the order statistics are taken componentwise.

Topics: Statistics, Statistics Theory, Mathematics

Source: http://arxiv.org/abs/1607.05896

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5.0

Jan 16, 2021
01/21

by
Michael C Falk (FalkThisNonsense)

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I'm a bonsai enthusiast and wanted to replace one of my ceramic water feature planters (the water reservoir leaks) with a new one. I didn't see any other bonsai pots on here like this one, so I designed my own. This is the elevated tray that I designed to accompany it.

Topics: bonsai_pot, Outdoor & Garden, bonsai, thingiverse, bonsai_planter, bonsai_table, stl, gardening

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Jun 12, 2021
06/21

by
Michael C Falk (FalkThisNonsense)

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I love the "Trump Balloon UK Visit 2018" by cerberus333, but it wouldn't stand up! I took the model and modified it in Maya to add a pedestal. And now that the election is over and we're witnessing daily tantrums, the pedestal markings are perfect. :)

Topics: US_Politics, remix, thingiverse, Donald Trump, baby, Other, Trump, stl

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Sep 18, 2013
09/13

by
Michael Falk; Hiroaki Terao

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We study cohomology with coefficients in a rank one local system on the complement of an arrangement of hyperplanes $\A$. The cohomology plays an important role for the theory of generalized hypergeometric functions. We combine several known results to construct explicit bases of logarithmic forms for the only non-vanishing cohomology group, under some nonresonance conditions on the local system, for any arrangement $\A$. The bases are determined by a linear ordering of the hyperplanes, and are...

Source: http://arxiv.org/abs/alg-geom/9412009v3

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3.0

Jun 30, 2018
06/18

by
Michael Falk; Maximilian Zott

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In practice, it is not possible to observe a whole max-stable random field. Therefore, a way how to reconstruct a max-stable random field in $C\left([0,1]^k\right)$ by interpolating its realizations at finitely many points is proposed. The resulting interpolating process is again a max-stable random field. This approach uses a \emph{generalized max-linear model}. Promising results have been established in the case $k=1$ in a previous paper. However, the extension to higher dimensions is not...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1703.03472

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Sep 21, 2013
09/13

by
Michael Falk; Diana Tichy

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Let $\bm X=(X_1,...,X_d)$ be a random vector, whose components are not necessarily independent nor are they required to have identical distribution functions $F_1,...,F_d$. Denote by $N_s$ the number of exceedances among $X_1,...,X_d$ above a high threshold $s$. The fragility index, defined by $FI=\lim_{s\nearrow}E(N_s\mid N_s>0)$ if this limit exists, measures the asymptotic stability of the stochastic system $\bm X$ as the threshold increases. The system is called stable if $FI=1$ and...

Source: http://arxiv.org/abs/1108.0853v1

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5.0

Jun 30, 2018
06/18

by
Michael Falk; Florian Wisheckel

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It is well known that an extreme order statistic and a central order statistic (os) as well as an intermediate os and a central os from a sample of iid univariate random variables get asymptotically independent as the sample size increases. We extend this result to bivariate random variables, where the os are taken componentwise. An explicit representation of the conditional distribution of bivariate os turns out to be a powerful tool.

Topics: Statistics Theory, Statistics, Mathematics

Source: http://arxiv.org/abs/1701.09108

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3.0

Jun 29, 2018
06/18

by
Michael Falk; Gilles Stupfler

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This paper introduces max-characteristic functions (max-CFs), which are an offspring of multivariate extreme-value theory. A max-CF characterizes the distribution of a random vector in R^d , whose components are nonnegative and have finite expectation. Pointwise convergence of max-CFs is shown to be equivalent with convergence with respect to the Wasserstein metric. The space of max-CFs is not closed in the sense of pointwise convergence. An inversion formula for max-CFs is established.

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1603.02575

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4.0

Jan 16, 2021
01/21

by
Michael C Falk (FalkThisNonsense)

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I'm a bonsai enthusiast and wanted to replace one of my ceramic water feature planters (the water reservoir leaks) with a new one. I didn't see any other bonsai pots on here like this one, so I designed my own. I also designed an elevated tray to accompany it, found here: https://www.thingiverse.com/thing:4714249

Topics: bonsai_pot, plants, Outdoor & Garden, bonsai, thingiverse, bonsai_planter, stl, planter

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Sep 21, 2013
09/13

by
Stefan Aulbach; Michael Falk

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De Haan and Pereira (2006) provided models for spatial extremes in the case of stationarity, which depend on just one parameter {\beta} > 0 measuring tail dependence, and they proposed different estimators for this parameter. This framework was supplemented in Falk (2011) by establishing local asymptotic normality (LAN) of a corresponding point process of exceedances above a high multivariate threshold, yielding in particular asymptotic efficient estimators. The estimators investigated in...

Source: http://arxiv.org/abs/1108.0921v3

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Sep 22, 2013
09/13

by
Adam F. Falk; Michael Luke

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We compute the first two moments of the final hadronic invariant mass in inclusive semileptonic B decay, in the presence of a cut on the charged lepton energy. These moments may be measured directly by experiments at the Upsilon(4S) using the neutrino reconstruction technique, which requires such a cut. Measurement of these moments will place constraints on the nonperturbative parameters \bar\Lambda and \lambda_1, which are relevant for extracting the quark masses m_b and m_c, as well as the...

Source: http://arxiv.org/abs/hep-ph/9708327v1

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Sep 18, 2013
09/13

by
Falk Bruckmann; Ernst-Michael Ilgenfritz

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We show that low-lying eigenmodes of the Laplace operator are suitable to represent properties of the underlying SU(2) lattice configurations. We study this for the case of finite temperature background fields, yet in the confinement phase. For calorons as classical solutions put on the lattice, the lowest mode localizes one of the constituent monopoles by a maximum and the other one by a minimum, respectively. We introduce adjustable phase boundary conditions in the time direction, under which...

Source: http://arxiv.org/abs/hep-lat/0509020v1

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Sep 23, 2013
09/13

by
Falk Bruckmann; Ernst-Michael Ilgenfritz

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We compute low-lying eigenmodes of the gauge covariant Laplace operator on the lattice at finite temperature. For classical configurations we show how the lowest mode localizes the monopole constituents inside calorons and that it hops upon changing the boundary conditions. The latter effect we observe for thermalized backgrounds, too, analogously to what is known for fermion zero modes. We propose a new filter for equilibrium configurations which provides link variables as a truncated sum...

Source: http://arxiv.org/abs/hep-lat/0511030v1

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Jul 20, 2013
07/13

by
Adam F. Falk; Michael Luke

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We construct an effective Lagrangian describing the interaction of soft pions and kaons with mesons containing a heavy quark and light degrees of freedom in an orbital $p$ wave. The formalism is easily extended to heavy mesons and baryons in arbitrary excited states. We calculate the leading contributions to the strong decays $\dtwo\to\d\pi$, $\dtwo\to\dstar\pi$ and $\done\to\dstar\pi$. We confirm the relations between the rates previously obtained by Isgur and Wise using heavy quark symmetry,...

Source: http://arxiv.org/abs/hep-ph/9206241v1

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Sep 18, 2013
09/13

by
Falk Bruckmann; Ernst-Michael Ilgenfritz

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We compute low-lying eigenmodes of the gauge covariant Laplace operator on the lattice at finite temperature. For classical configurations we show how the lowest mode localizes the monopole constituents inside calorons and that it hops upon changing the boundary conditions. The latter effect we observe for thermalized backgrounds, too, analogously to what is known for fermion zero modes. We propose a new filter for equilibrium configurations which provides link variables as a truncated sum...

Source: http://arxiv.org/abs/hep-lat/0509087v1

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Sep 23, 2013
09/13

by
Emanuele Delucchi; Michael J. Falk

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We define a partial ordering on the set Q = Q(M) of pairs of topes of an oriented matroid M, and show the geometric realization |Q| of the order complex of Q has the same homotopy type as the Salvetti complex of M. For any element e of the ground set, the complex |Qe| associated to the rank-one oriented matroid on {e} has the homotopy type of the circle. There is a natural free simplicial action of Z4 on |Q|, with orbit space isomorphic to the order complex of the poset Q(M,e) associated to the...

Source: http://arxiv.org/abs/1305.0134v1

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Sep 18, 2013
09/13

by
Michael Falk; Alexander I. Suciu

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This is a slightly revised version (with references added in) of a survey article which appeared in the Spring 2005 edition of the MSRI newsletter, the Emissary. The article describes some of the themes from the Fall 2004 MSRI program on Hyperplane Arrangements and Applications.

Source: http://arxiv.org/abs/math/0505166v1

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Sep 22, 2013
09/13

by
Woo Kyun Kim; Michael L. Falk

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Reformulating hyperdynamics without using a transition state theory (TST) dividing surface makes it possible to accelerate conventional molecular dynamics (MD) simulation using a broader range of bias potentials. A new scheme to calculate the boost factor is also introduced that makes the hyperdynamics method more accurate and efficient. Novel bias potentials using the hyper-distance and the potential energy slope and curvature along the direction vector from a minimum to a current position can...

Source: http://arxiv.org/abs/1004.4703v1

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Sep 23, 2013
09/13

by
Michael Falk; Martin Hofmann; Maximilian Zott

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We propose a way how to generate a max-stable process in $C[0,1]$ from a max-stable random vector in $\R^d$ by generalizing the \emph{max-linear model} established by Wang and Stoev (2011). It turns out that if the random vector follows some finite dimensional distribution of some initial max-stable process, the approximating processes converge uniformly to the original process and the pointwise mean squared error can be represented in a closed form. The obtained results carry over to the case...

Source: http://arxiv.org/abs/1303.2602v1

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Sep 21, 2013
09/13

by
Michael J. Falk; Alexander N. Varchenko

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We define the flag space and space of singular vectors for an arrangement A of hyperplanes in projective space equipped with a system of weights a: A --> C. We show that the contravariant bilinear form of the corresponding weighted central arrangement induces a well-defined form on the space of singular vectors of the projectivization. If the sum of the weights a(H), H in A, is zero, then this form is naturally isomorphic to the restriction to the space of singular vectors of the...

Source: http://arxiv.org/abs/1108.3871v1

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Jun 30, 2018
06/18

by
Florian Bruse; Michael Falk; Martin Lange

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It is known that the model checking problem for the modal mu-calculus reduces to the problem of solving a parity game and vice-versa. The latter is realised by the Walukiewicz formulas which are satisfied by a node in a parity game iff player 0 wins the game from this node. Thus, they define her winning region, and any model checking algorithm for the modal mu-calculus, suitably specialised to the Walukiewicz formulas, yields an algorithm for solving parity games. In this paper we study the...

Topics: Logic in Computer Science, Computing Research Repository

Source: http://arxiv.org/abs/1408.5961

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Sep 18, 2013
09/13

by
Michael J. Falk; Nicholas J. Proudfoot

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Let \A be a complex hyperplane arrangement, and let $X$ be a modular element of arbitrary rank in the intersection lattice of \A. We show that projection along $X$ restricts to a fiber bundle projection of the complement of \A to the complement of the localization $\A_X$ of \A at $X$. The fiber is the decone of a realization of the complete principal truncation of the underlying matroid of \A along the flat corresponding to $X$. This result gives a topological realization of results of Stanley,...

Source: http://arxiv.org/abs/math/0002094v2

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Sep 21, 2013
09/13

by
Stefan Aulbach; Michael Falk; Martin Hofmann

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The univariate Piecing-Together approach (PT) fits a univariate generalized Pareto distribution (GPD) to the upper tail of a given distribution function in a continuous manner. A multivariate extension was established by Aulbach et al. (2012a): The upper tail of a given copula C is cut off and replaced by a multivariate GPD-copula in a continuous manner, yielding a new copula called a PT-copula. Then each margin of this PT-copula is transformed by a given univariate distribution function. This...

Source: http://arxiv.org/abs/1108.0920v4

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Sep 22, 2013
09/13

by
Michael L. Falk; James S. Langer

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Since the 1970's, theories of deformation and failure of amorphous, solidlike materials have started with models in which stress-driven, molecular rearrangements occur at localized flow defects via "shear transformations". This picture is the basis for the modern theory of "shear transformation zones" (STZ's), which is the focus of this review. We begin by describing the structure of the theory in general terms and by showing several applications, specifically:...

Source: http://arxiv.org/abs/1004.4684v2

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Jun 28, 2018
06/18

by
Clément Dombry; Michael Falk; Maximilian Zott

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Records among a sequence of iid random variables $X_1,X_2,\dotsc$ on the real line have been investigated extensively over the past decades. A record is defined as a random variable $X_n$ such that $X_n>\max(X_1,\dotsc,X_{n-1})$. Trying to generalize this concept to the case of random vectors, or even stochastic processes with continuous sample paths, the question arises how to define records in higher dimensions. We introduce two different concepts: A simple record is meant to be a...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1510.04529

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Jun 26, 2018
06/18

by
Adam R. Hinkle; Michael L. Falk

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Recent Couette-cell shear experiments of carbopol gels have revealed the formation of a transient shear band before reaching the steady state, which is characterized by homogeneous flow. This shear band is observed in the small-gap limit where the shear stress is spatially uniform. An effective-temperature model of the transient shear banding and solid-fluid transition is developed for the small-gap limit. The small-gap model demonstrates the ability of a continuum-constitutive law that is...

Topics: Soft Condensed Matter, Condensed Matter

Source: http://arxiv.org/abs/1502.01291

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Jul 20, 2013
07/13

by
Stefan Aulbach; Michael Falk; Martin Hofmann

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We introduce a functional domain of attraction approach for stochastic processes, which is more general than the usual one based on weak convergence. The distribution function G of a continuous max-stable process on [0,1] is introduced and it is shown that G can be represented via a norm on functional space, called D-norm. This is in complete accordance with the multivariate case and leads to the definition of functional generalized Pareto distributions (GPD) W. These satisfy W=1+log(G) in...

Source: http://arxiv.org/abs/1107.5136v3

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Sep 20, 2013
09/13

by
Stefan Aulbach; Verena Bayer; Michael Falk

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The univariate piecing-together approach (PT) fits a univariate generalized Pareto distribution (GPD) to the upper tail of a given distribution function in a continuous manner. We propose a multivariate extension. First it is shown that an arbitrary copula is in the domain of attraction of a multivariate extreme value distribution if and only if its upper tail can be approximated by the upper tail of a multivariate GPD with uniform margins. The multivariate PT then consists of two steps: The...

Source: http://arxiv.org/abs/1205.1617v1

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6.0

Jun 30, 2018
06/18

by
Stefan Aulbach; Michael Falk; Maximilian Zott

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The theory of $D$-norms is an offspring of multivariate extreme value theory. We present recent results on $D$-norms, which are completely determined by a certain random vector called generator. In the first part it is shown that the space of $D$-norms is a complete separable metric space, if equipped with the Wasserstein-metric in a suitable way. Secondly, multiplying a generator with a doubly stochastic matrix yields another generator. An iteration of this multiplication provides a sequence...

Topics: Mathematics, Statistics Theory, Statistics

Source: http://arxiv.org/abs/1403.6016

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Sep 23, 2013
09/13

by
Stefan Aulbach; Michael Falk; Martin Hofmann

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Aulbach et al. (2012) introduced some mathematical framework for extreme value theory in the space of continuous functions on compact intervals. Continuous max-stable processes on [0,1] were characterized by their functional distribution function, which can be represented via a norm on function space, called D-norm. The high conformity of this setup with the multivariate case led to the introduction of a functional max-domain of attraction approach for stochastic processes, which is more...

Source: http://arxiv.org/abs/1303.2452v1

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Sep 20, 2013
09/13

by
Adam F. Falk; Michael E. Peskin

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We discuss the production via fragmentation of excited heavy mesons and baryons, and their subsequent decay. In particular, we consider the question of whether a net polarization of the initial heavy quark may be detected, either in a polarization of the final ground state or in anisotropies in the decay products of the excited hadron. The result hinges in part on a nonperturbative parameter which measures the net transverse alignment of the light degrees of freedom in the fragmentation...

Source: http://arxiv.org/abs/hep-ph/9308241v1

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Sep 21, 2013
09/13

by
Daniel C. Cohen; Michael Falk; Richard Randell

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We show that the Artin pure braid group on at least four strands is not residually free. Our results also show that the pure braid group on at least three strands has corank two.

Source: http://arxiv.org/abs/1106.4602v1

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Sep 23, 2013
09/13

by
Falk Zimmermann; Hilmar Forkel; Michael Muller-Preussker

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We numerically simulate ensembles of SU(2) Yang-Mills dimeron solutions with a statistical weight determined by the classical action and perform a comprehensive analysis of their properties. In particular, we examine the extent to which these ensembles capture topological and confinement properties of the Yang-Mills vacuum. This further allows us to test the classic picture of meron-induced quark confinement as triggered by dimeron dissociation. At small bare couplings, spacial,...

Source: http://arxiv.org/abs/1202.4381v1

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Sep 18, 2013
09/13

by
Christian Bauer; Adam F. Falk; Michael Luke

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We study logarithms of the form $\ln(m_q/m_b)$ which arise in the inclusive semileptonic decay of a bottom quark to a quark of mass $m_q$. We use the renormalization group to resum the leading radiative corrections to these terms, of the form $m_q^2\alpha_s^n\ln^n(m_q/m_b)$, $m_q^3\alpha_s^{n+1}\ln^n(m_q/m_b)$ and $m_q^4\alpha_s^n\ln^{n+1}(m_q/m_b)$. The first two resummations are trivial, while the latter involves a non-trivial mixing of four-fermi operators in the $1/m_b$ expansion. We...

Source: http://arxiv.org/abs/hep-ph/9604290v2

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Sep 20, 2013
09/13

by
Michael Booth; George Chiladze; Adam F. Falk

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We develop quenched chiral perturbation theory for vector mesons made of light quarks, in the limit where the vector meson masses are much larger than the pion mass. We use this theory to extract the leading nonanalytic dependence of the vector meson masses on the masses of the light quarks. By comparing with analogous quantities computed in ordinary chiral perturbation theory, we estimate the size of quenching effects, observing that in general they can be quite large. This estimate is...

Source: http://arxiv.org/abs/hep-ph/9610532v1

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Sep 21, 2013
09/13

by
Daniel C. Cohen; Michael Falk; Richard Randell

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The Lawrence-Krammer-Bigelow representation of the braid group arises from the monodromy representation on the twisted homology of the fiber of a certain fiber bundle in which the base and total space are complements of braid arrangements, and the fiber is the complement of a discriminantal arrangement. We present a more general version of this construction and use it to construct nontrivial bundles on the complement of an arbitrary arrangement \A\ whose fibers are products of discriminantal...

Source: http://arxiv.org/abs/1008.0417v2

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Sep 21, 2013
09/13

by
Adam F. Falk; Matthias Neubert; Michael Luke

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We reformulate the heavy quark effective theory in the presence of a residual mass term, which has been taken to vanish in previous analyses. While such a convention is permitted, the inclusion of a residual mass allows us to resolve a potential ambiguity in the choice of the expansion parameter which defines the effective theory. We show to subleading order in the mass expansion that physical quantities computed in the effective theory do not depend on the expansion parameter.

Source: http://arxiv.org/abs/hep-ph/9204229v1

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Sep 23, 2013
09/13

by
John Ellis; Toby Falk; Keith Olive; Michael Schmitt

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We discuss the lower limit on the mass of the neutralino $\chi$ that can be obtained by combining data from $e^+e^-$ annihilation at LEP and elsewhere with astrophysical and theoretical considerations. Loopholes in the purely experimental analysis of ALEPH data from the Z peak and LEP 1.5, which appear when $\mu

Source: http://arxiv.org/abs/hep-ph/9607292v1